DEFINING SLOPE SECTION 5 2 Slope rise to

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DEFINING SLOPE SECTION 5. 2

DEFINING SLOPE SECTION 5. 2

Slope rise to ____ is the ratio of vertical ______ run horizontal _____. Slope

Slope rise to ____ is the ratio of vertical ______ run horizontal _____. Slope = rise run = SLOPEMAN My one weakness is that I can only run to the right.

Remember, I can only run to the right! If I run uphill, then the

Remember, I can only run to the right! If I run uphill, then the slope of the line is positive. Rise Run Lines with a positive slope go uphill from left to right.

Slopeman is going UPHILL so the slope is POSITIVE. Lines with POSITIVE slope go

Slopeman is going UPHILL so the slope is POSITIVE. Lines with POSITIVE slope go UP from left to right

If I run DOWNHILL, then the slope of the line is NEGATIVE. Lines with

If I run DOWNHILL, then the slope of the line is NEGATIVE. Lines with a NEGATIVE slope go DOWN from left to right. Rise Run Remember, I can only run to the right!

Slopeman is going downhill so the slope is negative.

Slopeman is going downhill so the slope is negative.

EXAMPLE 1: Find the slope of the following lines. 2 2 Run Rise 1

EXAMPLE 1: Find the slope of the following lines. 2 2 Run Rise 1 = m = e Slop ter t e l e h t We use t n e s e r p e m to r slope.

EXAMPLE 1: Find the slope of the following lines. 3 1 1 ve. i

EXAMPLE 1: Find the slope of the following lines. 3 1 1 ve. i t a g e n Slope is m = -3 3

EXAMPLE 1: Find the slope of the following lines. 1 2 Slope is positive.

EXAMPLE 1: Find the slope of the following lines. 1 2 Slope is positive.

Plot the following points on the graph and find the slope. 4 2 Slope

Plot the following points on the graph and find the slope. 4 2 Slope is positive. +2 x y 4 1 6 5 +4 +4 +2 2

Example 2: Find the slope between the following points without graphing. -8 x y

Example 2: Find the slope between the following points without graphing. -8 x y 9 6 1 4 -2 -8 -2

Example 2: Find the slope between the following points without graphing. +6 x y

Example 2: Find the slope between the following points without graphing. +6 x y -1 3 5 -3 -6 +6 -6

Example 2: Find the slope between the following points without graphing. x +45 y

Example 2: Find the slope between the following points without graphing. x +45 y -31 29 14 -52 -81 +45 -81

Sometimes when you must find the slope of a line without having a picture

Sometimes when you must find the slope of a line without having a picture of the graph, it is easier to find the slope of a line using the following formula. Slope = when the two points are Example 3: Find the slope of the line containing the following points

Example 3: Find the slope of the line containing the following points

Example 3: Find the slope of the line containing the following points

Choose any two points on the line and find the slope of the line.

Choose any two points on the line and find the slope of the line. x y -3 +0 -3 4 3 1 3 +0

If I tried to ski on this line, how fast would I travel? zero

If I tried to ski on this line, how fast would I travel? zero miles per hour The slope of any horizontal line is zero.

Choose any two points on the line and find the slope of the line.

Choose any two points on the line and find the slope of the line. x y +0 -4 +0 -2 1 -2 -3 -4

What would happen if I tried to ski off this vertical cliff?

What would happen if I tried to ski off this vertical cliff?

HELP !! I would have UNDEFINED body parts!! The slope of any vertical line

HELP !! I would have UNDEFINED body parts!! The slope of any vertical line is undefined.

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